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Combining the two statements .. we can solve the two inequalities as we solve simultaneous equations

eliminating x a) 7x-2y >0 (stmt 1) b) 7x+7y > 0 (stmt 2 * 7)

a-b => -9y > 0 or y<0

hence C

Am I doing anything wrong ?

Subtracting two inequalities is not correct all the time. For example, 2 > 0 and 3 > 0 but, (2-3) < 0. However, additions is ok.

My two cents, since we don't know wether y>0 or <0 so we can't do the substraction...as our friend explained using example: 2 > 0 and 3 > 0 but, (2-3) < 0.